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Finding the Third Proportional to 65,730.94 and 107,320.78

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Solution

The third proportional to 65,730.94 and 107,320.78 is: 175,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,730.94 : 107,320.78 = 107,320.78 : x
  2. Step 2: Convert to fraction form
    65,730.94/107,320.78 = 107,320.78/x
  3. Step 3: Cross multiply
    65,730.94x = 107,320.78 × 107,320.78
  4. Step 4: Simplify right side
    65,730.94x = 11,517,750,088.11
  5. Step 5: Solve for x
    x = 11,517,750,088.11/65,730.94
  6. Step 6: Final answer
    x = 175,225.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.